diff --git a/src/gt4py/next/program_processors/runners/dace_fieldview/transformations/simplify.py b/src/gt4py/next/program_processors/runners/dace_fieldview/transformations/simplify.py
index c4e9be3835..3debb6a5eb 100644
--- a/src/gt4py/next/program_processors/runners/dace_fieldview/transformations/simplify.py
+++ b/src/gt4py/next/program_processors/runners/dace_fieldview/transformations/simplify.py
@@ -971,36 +971,55 @@ def apply(
             tmp_out_subset = dace_subsets.Range.from_array(tmp_desc)
         assert glob_in_subset is not None
 
-        # Find the source of the edge entering the map exit node
-        map_exit_in_conn = map_to_tmp_edge.src_conn.replace("OUT_", "IN_")
-        src_to_map_exit_edge = next(
-            edge for edge in graph.in_edges(map_exit) if edge.dst_conn == map_exit_in_conn
-        )
-        if isinstance(src_to_map_exit_edge.src, dace.nodes.NestedSDFG):
-            nsdfg_node = src_to_map_exit_edge.src
+        # Recursively visit the nested SDFGs for mapping from inner to outer strides on the vertical dimension
+        def map_strides(edge: dace.sdfg.graph.Edge, outer_node: dace.nodes.AccessNode) -> None:
+            if isinstance(edge.src, dace.nodes.MapExit):
+                # Find the source of the edge entering the map exit node
+                map_exit_in_conn = edge.src_conn.replace("OUT_", "IN_")
+                for edge_to_map_exit_edge in graph.in_edges_by_connector(
+                    edge.src, map_exit_in_conn
+                ):
+                    map_strides(edge_to_map_exit_edge, outer_node)
+                return
+
+            if not isinstance(edge.src, dace.nodes.NestedSDFG):
+                return
+
             # We need to propagate the strides inside the nested SDFG on the global arrays
-            # TODO: the stride should be propagated recursively to nested SDFGs, if directly connected
+            nsdfg_node = edge.src
             new_strides = tuple(
                 stride
                 for stride, to_map_size in zip(
-                    glob_ac.desc(sdfg).strides,
-                    src_to_map_exit_edge.data.subset.size(),
+                    outer_node.desc(sdfg).strides,
+                    edge.data.subset.size(),
                     strict=True,
                 )
                 if to_map_size != 1
             )
-            inner_data = src_to_map_exit_edge.src_conn
+            inner_data = edge.src_conn
             inner_desc = nsdfg_node.sdfg.arrays[inner_data]
-            if isinstance(inner_desc, dace.data.Array):
-                inner_desc.set_shape(inner_desc.shape, new_strides)
-            else:
-                assert isinstance(inner_desc, dace.data.Scalar)
+            assert not inner_desc.transient
+
+            if isinstance(inner_desc, dace.data.Scalar):
                 assert len(new_strides) == 0
+                return
+
+            assert isinstance(inner_desc, dace.data.Array)
+            inner_desc.set_shape(inner_desc.shape, new_strides)
+
             for stride in new_strides:
                 for sym in stride.free_symbols:
                     nsdfg_node.sdfg.add_symbol(str(sym), sym.dtype)
                     nsdfg_node.symbol_mapping |= {str(sym): sym}
 
+            for inner_state in nsdfg_node.sdfg.states():
+                for inner_node in inner_state.data_nodes():
+                    if inner_node.data == inner_data:
+                        for inner_edge in inner_state.in_edges(inner_node):
+                            map_strides(inner_edge, inner_node)
+
+        map_strides(map_to_tmp_edge, glob_ac)
+
         # We now remove the `tmp` node, and create a new connection between
         #  the global node and the map exit.
         new_map_to_glob_edge = graph.add_edge(